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Finding the Fourth Proportional to 22,742.34, 34,103.17 and 9,587.53

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Solution

The fourth proportional to 22,742.34, 34,103.17 and 9,587.53 is: 14,376.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,742.34 : 34,103.17 = 9,587.53 : x
  2. Step 2: Convert to fraction form
    22,742.34/34,103.17 = 9,587.53/x
  3. Step 3: Cross multiply
    22,742.34x = 34,103.17 × 9,587.53
  4. Step 4: Simplify right side
    22,742.34x = 326,965,165.47
  5. Step 5: Solve for x
    x = 326,965,165.47/22,742.34
  6. Step 6: Final answer
    x = 14,376.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.